liangjh0007
幼苗
共回答了21个问题采纳率:81% 举报
lim(x→0)∫ f(t)dt/[∫ f(t)dt]^3
=lim(x→0)f(x^2)2x/[f(x)^3](罗必塔法则)
=lim(x→0)f'(x^2)(2x)^2/[3f(x)^2*f'(x)]
=lim(x→0)f'(x^2)*4*[x/f(x)]^2/[3*f'(x)]
=lim(x→0)f'(x^2)*4/[3*f'(x)]*lim(x→0)[x/f(x)]^2
=f'(0)*4/[3*f'(0)]*[1/f'(0)]^2
=4/3*1/36
=1/27
方法是这样,不知是否计算正确
1年前
2